7 identical 8-cm cubes are placed in an empty rectangular container of length 74 cm and width 22 cm. The container is then filled with water from a tap flowing at a rate of 5 litres per minute. It takes 14 minutes to fill up ¹₂ of the container. What is the height of the container? Correct your answer to 1 decimal place.
Volume of 1 cube
= 8 x 8 x 8
= 512 cm³ 

Volume of 7 cubes
= 7 x 512
= 3584 cm³ 

1 ℓ = 1000 mℓ
5 ℓ = 5000 mℓ

Volume of water in the container
= 14 x 5000
= 70000 mℓ

Volume of ¹₂ of the container
= 70000 + 3584
= 73584 mℓ

Volume of the container
= 73584 ÷ ¹₂
= 73584 x ²₁
= 147168 mℓ

Base area
= 74 x 22
= 1628 cm² 

Height of the container
= 147168 ÷ 1628
≈ 90.4 cm

Answer(s): 90.4 cm